A nonmodal approach for time-integration of a barotropic limited area model

In this work, we integrate a semidiscrete nonlinear matrix differential system arising from a barotropic limited area model with periodic boundary conditions on the β-plane. We use a new formulation for the state transition matrix, the nonmodal matrix, in order to carry out the time-integration. The Helmholtz wind field reconstruction is performed by singular value decomposition (SVD).